On　the　basis　of　the　two-component　coupled　Hirota　equation,　the　higher-order　solitons　solution　of　the　equation　is　investigated,　and　dynamical　characteristics　is　analyzed.　Based　on　the　Lax　pair　and　generalized　Darboux　transformation,　the　Taylor　expansion　of　the　characteristic　function　is　carried　out,　and　the　expressions　of　the　second-　and　third-order　soliton　solutions　of　Hirota　equation　are　derived.　The　real　and　imaginary　parts　of　spectral　parameter　X　are　discussed　in　different　cases.　Under　the　influence　of　the　value　of　different　free　parameters,　the　evolution　graphs　of　soliton　interaction　are　obtained　via　numerical　simulation.　The　effects　of　different　parameters　on　the　amplitude　change　and　propagation　direction　of　soli-tons　are　analyzed.　The　results　show　that　different　values　of　parameters　affect　the　interaction　and　propagation　direction　of　solitons.　©　2025　Journal　of　Dynamics　and　Control.　All　rights　reserved.